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Finding the Fourth Proportional to 2,084.94, 2,872.26 and 1,710.72

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Solution

The fourth proportional to 2,084.94, 2,872.26 and 1,710.72 is: 2,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.94 : 2,872.26 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    2,084.94/2,872.26 = 1,710.72/x
  3. Step 3: Cross multiply
    2,084.94x = 2,872.26 × 1,710.72
  4. Step 4: Simplify right side
    2,084.94x = 4,913,632.63
  5. Step 5: Solve for x
    x = 4,913,632.63/2,084.94
  6. Step 6: Final answer
    x = 2,356.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.